Question

A land surveyor places two stakes 500 ft apart and locates the midpoint between the stakes. From the midpoint, he needs to place another stake 100 ft away that is equidistant to the two original stakes. To apply the Perpendicular Bisector Theorem, the land surveyor would need to identify a line that is
perpendicular to the line connecting the two stakes and going through the midpoint of the two stakes
parallel to the line connecting the two stakes and going through the midpoint of the two stakes
perpendicular to the line connecting the two stakes and going through one of the two original stakes
parallel to the line connecting the two stakes and going through one of the two original stakes

Answer 1

Answer:

• A. perpendicular to the line connecting the two stakes and going through the midpoint of the two stakes

Step-by-step explanation:

The point which is equidistant to the two endpoints is lying on the perpendicular bisector of the line segment connecting the two takes.

It would have the distance from the two stakes:

• $l=\sqrt{(500/2)^2+100^2} =269ft$

Therefore the correct choice is A